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GATE 2020: Strength of Materials Rapid Mini Mock
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Question 1
A load of 5 kN is suddenly applied on a steel bar. The diameter of the steel bar, if the stress is not to exceed 100 MPa
Question 2
A steel tube having outside and inside diameter of 100 mm and 60 mm respectively is bent in to the form of a quadrant of 2 m radius as shown in figure. The vertical deflection of the free under this load [Given E = 200 GPa]
Question 3
A bar of length 2.1m and diameter 38mm is subjected to pure torsion. If the shear modulus of the material is 41GPa, calculate the torsional stiffness of the bar.
Question 4
A column of square section 40 mm × 40 mm, fixed to the ground carries an eccentric load P of 1200 N as shown in figure. If the stress developed along the edge CD is –1.2 MPa, the stress along the edge AB is ______ MPa.
Question 5
The moment of inertia of a beam section which is 500 mm deep is 69.49 × 107 mm4. The maximum stress in the beam is not to exceed 110 N/mm2. The maximum span of the beam is _______ m, when simply supported at the ends and could carry a uniformly distributed load of 50 kN per metre length.
Question 6
The shell of a boiler is 2 m in diameter and the plates are 2 cm thick. By how much % the working pressure will be reduced if the efficiency of the joint is 80% as compared to 100% efficiency
[Assume safe working stress for the shell plates as 70 MPa]
[Assume safe working stress for the shell plates as 70 MPa]
Question 7
A 10 mm diameter aluminium wire is twisted through one complete revolution without exceeding a shearing stress of 40 N/mm2. The length of the wire is ____ m.
[Take G = 2.7 × 104 N/mm2]
[Take G = 2.7 × 104 N/mm2]
Question 8
The state of stress is showing as a particular point in a stressed body. The diameter of the Mohr’s circle for this state of stress is.
Question 9
The correct bending moment diagram for the following beam is
Question 10
A cantilever of length 3m is carrying a point load of 50kN at a distance of 2m from the fixed end. If I= 108 mm4 and E= 2 × 105 N/mm2 . Find the deflection at the free end.
Question 11
A rigid beam AB is supported as shown in figure. The rod AM is of steel, with a cross-sectional area of 10 cm2, the rod BN is of wood with a cross-sectional area of 100 cm2, the rod CD is of copper, and has cross-sectional area of 30 cm2. The displacement of the point of application of the load is
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] Question 12
A uniform cantilever beam with flexural rigidity EI is shown in figure. The bending deflection at the free end is
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